How it works ?
- In the applet below, the perpendicular bisector of the blue segment (with endpoints A and B) is shown.
- Before completing the directions below, move/drag points A and B around to verify that the brown line is the perpendicular bisector of AB.
- Directions: Use the tools of GeoGebra to do the following:
- 1) Plot a point anywhere on this perpendicular bisector.
- 2) Measure and display the distance from this point to point A. 3) Measure and display the distance from this point to point B.
- 3) Now drag this point along the perpendicular bisector as much as you’d like. Be sure to zoom out and keep dragging this point along this perpendicular bisector.
- What do you notice?
- 4) Use your observations to complete the following statement: If a point lies on the ______________________ ___________________ of a ________________________, then that ____________ is ___________________ from the ____________________ of that _____________________.
- 5) Prove the statement (you completed in step (4) above) using the format of a 2 column proof.